Eigen Vector-Programming Code
Write a program for the following
1. Calculate the eigenvalues ??in 1/s^2 and the eigenvectors of the system.
2. Normalize the eigenvectors with respect to the mass matrix K.
3. Now calculate the absolute value of the normalized eigenvector from question 2, which belongs to the third largest eigenvalue.
4. Calculate the product of the absolute value of this eigenvector and the corresponding eigenvalue in 1/s^2. Enter this result, rounded to three decimal places, in the corresponding field (enter only the numerical value without a unit).